What is the binary representation of the decimal number 7

October 15, 2026Mathematics

ScanSolve AI Answer

Answer

111_2

4 steps

The binary representation of the decimal number 7 is 111.

Here's how to convert decimal 7 to binary:

Divide by 2 and record the remainder
$7 \div 2 = 3$ remainder 1
Divide the quotient by 2 and record the remainder
$3 \div 2 = 1$ remainder 1
Divide the quotient by 2 and record the remainder
$1 \div 2 = 0$ remainder 1
Read the remainders from bottom to top
The remainders are 1, 1, 1. Reading them from bottom to top gives 111.

Therefore, the binary representation of decimal 7 is:
$111_2$

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