Question

The decimal number $(127.25{)}_{10}$, when converted to binary number, takes the form.

• A. $(1111111.11{)}_2$
• B. $(1111110.01{)}_2$
• C. $(1110111.11{)}_2$
• D. $(1111111.01{)}_2$

Answer 1

Answer: (D)

$(1111111.01{)}_2$

REF.Image.

Converting ${127.25}_{19}$ in Binary system here so:

Whole part of a number is obtained by dividing on the basis new

Happened ${127}_{10}={1111111}_2$

The fractional part of number is found by multiplying on the basis new

Happened ${0.25}_{10}={0.01}_2$

Add up together whole and fractional part here so:

${1111111}_2+{0.01}_2={1111111.01}_2$

Result of converting

${127.25}_{10}={1111111.01}_2$