1100×10100101-10001111
393889
To calculate the result of the expression 1100 × 10100101 - 10001111, we follow the order of operations, which is generally known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) in mathematics.
First, let's break down the given expression:
1100 × 10100101 - 10001111
Step 1: Perform multiplication
Multiply 1100 by 10100101:
1100 × 10100101 = 11,110,111,100
Step 2: Perform subtraction
Subtract 10001111 from the result obtained in Step 1:
11,110,111,100 - 10001111 = 11,010,010,989
Therefore, the result of the expression 1100 × 10100101 - 10001111 is 11,010,010,989.
To solve the expression 1100 × 10100101 - 10001111, you can follow these steps:
Step 1: Convert the numbers to decimal form.
- In binary form, 1100 is equal to 12 in decimal.
- Similarly, 10100101 is equal to 165 in decimal, and 10001111 is equal to 143 in decimal.
Step 2: Perform the multiplication.
- Multiply 12 (the decimal value of 1100) by 165 (the decimal value of 10100101). The result is 1980.
Step 3: Perform the subtraction.
- Subtract 143 (the decimal value of 10001111) from 1980 (the result of the multiplication). The final result is 1837.
Therefore, the expression 1100 × 10100101 - 10001111 equals 1837.