Transfer 000001111111 from binary in hexadecimal number system

This transfer is possible in two ways: direct transfer and using the decimal system.

first, let\'s make a direct transfer.

Fill in the number with missing zeros on the left

let\'s do a direct translation from binary to hexadecimal like this:

000001111111₂ = 0000 0111 1111 = 0000₍₌₀₎ 0111₍₌₇₎ 1111_(=F) = 07F₁₆

the Final answer: 000001111111₂ = 07F₁₆

now let\'s make the transfer using the decimal system.

let\'s translate to decimal like this:

0∙2¹¹+0∙2¹⁰+0∙2⁹+0∙2⁸+0∙2⁷+1∙2⁶+1∙2⁵+1∙2⁴+1∙2³+1∙2²+1∙2¹+1∙2⁰ = 0∙2048+0∙1024+0∙512+0∙256+0∙128+1∙64+1∙32+1∙16+1∙8+1∙4+1∙2+1∙1 = 0+0+0+0+0+64+32+16+8+4+2+1 = 127₁₀

got It: 000001111111₂ =127₁₀

Translate the number 127₁₀ в hexadecimal like this:

the Integer part of the number is divided by the base of the new number system:

127	16
-112	7
F

the result of the conversion was:

127₁₀ = 7F₁₆

the Final answer: 000001111111₂ = 7F₁₆

0
(	)	^	←
C	±	÷	X
7	8	9	-
4	5	6	+
1	2	3	=
0		.	=