Math

Write the following numbers in the requested bases.
a. 10=_________base 2
b. 42=_________base 2
c. 10101011 base 2=________base 10
d. 77=_______base 5
e. 40 base 6=_______base 10

  1. 👍
  2. 👎
  3. 👁
  1. base 2
    1 = 2^0 which is 1 decimal (anything^0=1)
    1 0 = 2^1 which is 2 decimal
    1 0 0 = 2^2 which is 4 decimal
    1 0 0 0 = 2^3 which is 8 decimal

    1 + n zeros = 2^n

    so
    a. 10 = 8 + 2 decimal
    8 is 2^3 1 0 0 0
    2 is 2^1 0 0 1 0
    so the answer is
    1 0 1 0

    b. 42 = 32 + 10 (we already know 10)
    32 = 2^5 = 1 0 0 0 0 0
    10 = __________1 0 1 0
    so the answer is
    1 0 1 0 1 0

    c.
    2^7 +0 + 2^5 +0 +2^4 +0 +0 +2^1 +2^0
    128+32+16+2+1 = 179

    d. 5^0=1
    1 = 5^0
    10 = 5^1
    100 = 5^2 = 25
    1000 = 5^3 = 125 ...
    1 + n zeros = 5^n
    well 77 = 3*25 + 2
    = 3*5^2 + 2 * 5^0
    3 0 0 + 2
    3 0 2

    e. 1 = 6^0
    1 0 = 6^2 = 36
    1 0 0 = 6^3 = 216 ....
    so 4 0 is 4 * 36
    which is 144

    1. 👍
    2. 👎
  2. e.
    1 = 6^0
    1 0 = 6^1 = 6
    1 0 0 = 6^2 = 36
    1 0 0 0 = 6^3 =216
    so 40 is 4*6 or 24

    1. 👍
    2. 👎
  3. ARRGHHHH!!!!

    Unless you are studying Computer Science and are working in base 2, 8 or 16, tell your teacher to quit teaching this silly stuff and get back to real Mathematics.

    Tell him/her that an old mathteacher with over 33 years experience said so.

    (sorry about the political bias)

    1. 👍
    2. 👎
  4. LOL - well I think it is fun !

    1. 👍
    2. 👎
  5. Had an extra 0 when I copied
    c. 10101011 base 2=________base 10
    2^7+0+2^5+0+2^3+0+2^1+2^0
    128+32+8+2+1
    = 171

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    1. write an algebraic expression for the word phrase: the quotient of r and 12 a.r * 12 b.r/12**** c.r-12 2. write a word phrase for the algebraic expression: 2t - 9 a.nine fewer than two times a number t***** b.nine fewer than

  2. Algebra 2

    To solve 49(3x) = 343(2x+1), write each side of the equation in terms of base what? . In the brackets are powers. I tried to solve this but I don't understand I believe it is the first base you go off from but I'm not sure what

  3. Math

    Six whole numbers have A median of 10 A mode of 11 A range of 4 Work out a possible set of a six numbers. Write the numbers in order. Thank you.

  4. mathematics

    Here are four numbers. 0.43 3 7 43.8% 7 16 Write these numbers in order of size. Start with the smallest number

  1. Biology

    Translation is the process by which the sequence (1 point) A. of bases of an mRNA is converted into the sequence of amino acids of a protein. B. of bases of tRNA is converted into cytoplasm before attaching itself to polypeptide.

  2. Precalc

    To which set(s) of numbers does the number sqrt -16 belong? Select all that apply. real numbers complex numbers*** rational numbers imaginary numbers*** irrational numbers I can only pick two, and that's what I think it is. Please

  3. Chemistry

    Write the formulas of the conjugate acids of the following Brønsted-Lowry bases. A.C4H4N− B.(SO4)2− C.(CH3)3N Write the formulas of the conjugate bases of the following Brønsted-Lowry acids. A.HCN B.(CH3)2NH2+ C.H2SO4

  4. Math

    A. Write 60 as the sum of two numbers. B. Write 60 as the product of two numbers. C. Write 60 as the product of two factors. In youe expression, write one of the factors as a sum of two numbers. Find an equivalent way to write

  1. Algebra

    Order the following numbers from least to greatest. √5, -0.1, (-5/3), 0.7, √2 a. 0.7, √2, (-5/3), √5, -0.1 b. √5, √2, 0.7, (-5/3), -0.1 c. (-5/3), -0.1, 0.7, √2, √5 ? d. -0.1, 0.7, √2, √5, (-5/3) To which

  2. Math help Ms. Sue please

    1. Name the subset(s) of real numbers to which the number zero belongs. You can choose more than one answer. Irrational numbers Integers Whole numbers Natural numbers 2. Write an algebraic expression for the word phrase: the

  3. algebra

    Dorothy is thinking of two numbers. The sum of the numbers is 40 and the difference is 6. write a system of equations and use elimination method to find the two numbers.

  4. Maths

    Six whole numbers a median of 10 a node of 11 and a range of 4 work out a possible set of six numbers write them in order

You can view more similar questions or ask a new question.