Convert (156)10 to binary, octal,hexadecimal ?
To convert (156)10 to binary, octal, and hexadecimal, follow these steps:
1. Binary Conversion:
- Divide the decimal number (156) by 2 repeatedly until the quotient becomes 0.
- Take the remainders in reverse order to get the binary equivalent.
(156)10 ÷ 2 = 78 with remainder 0
(78)10 ÷ 2 = 39 with remainder 0
(39)10 ÷ 2 = 19 with remainder 1
(19)10 ÷ 2 = 9 with remainder 1
(9)10 ÷ 2 = 4 with remainder 1
(4)10 ÷ 2 = 2 with remainder 0
(2)10 ÷ 2 = 1 with remainder 0
(1)10 ÷ 2 = 0 with remainder 1
The binary equivalent of (156)10 is (10011100)2.
2. Octal Conversion:
- Divide the decimal number (156) by 8 repeatedly until the quotient becomes 0.
- Take the remainders in reverse order to get the octal equivalent.
(156)10 ÷ 8 = 19 with remainder 4
(19)10 ÷ 8 = 2 with remainder 3
(2)10 ÷ 8 = 0 with remainder 2
The octal equivalent of (156)10 is (234)8.
3. Hexadecimal Conversion:
- Divide the decimal number (156) by 16 repeatedly until the quotient becomes 0.
- Take the remainders in reverse order, using letters A-F for values 10-15, to get the hexadecimal equivalent.
(156)10 ÷ 16 = 9 with remainder 12 (C)
(9)10 ÷ 16 = 0 with remainder 9 (9)
The hexadecimal equivalent of (156)10 is (9C)16.
To convert the decimal number (156)10 to binary, octal, and hexadecimal, follow these steps:
1. Binary Conversion:
Divide the decimal number by 2 repeatedly until the quotient becomes zero.
The remainders obtained in each division, starting from the last remainder, form the binary equivalent.
Calculation:
156 divided by 2 equals 78 with a remainder of 0.
78 divided by 2 equals 39 with a remainder of 0.
39 divided by 2 equals 19 with a remainder of 1.
19 divided by 2 equals 9 with a remainder of 1.
9 divided by 2 equals 4 with a remainder of 1.
4 divided by 2 equals 2 with a remainder of 0.
2 divided by 2 equals 1 with a remainder of 0.
1 divided by 2 equals 0 with a remainder of 1.
So, the binary equivalent of (156)10 is (10011100)2.
2. Octal Conversion:
Divide the decimal number by 8 repeatedly until the quotient becomes zero.
The remainders obtained, starting from the last remainder, form the octal equivalent.
Calculation:
156 divided by 8 equals 19 with a remainder of 4.
19 divided by 8 equals 2 with a remainder of 3.
2 divided by 8 equals 0 with a remainder of 2.
So, the octal equivalent of (156)10 is (234)8.
3. Hexadecimal Conversion:
Divide the decimal number by 16 repeatedly until the quotient becomes zero.
The remainders obtained, starting from the last remainder, form the hexadecimal equivalent.
Calculation:
156 divided by 16 equals 9 with a remainder of 12 (represented as C in hexadecimal).
So, the hexadecimal equivalent of (156)10 is (9C)16.
Therefore, (156)10 is equivalent to (10011100)2 in binary, (234)8 in octal, and (9C)16 in hexadecimal.