Transfer 001001110010 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:

001001110010₂ = 0010 0111 0010 = 0010₍₌₂₎ 0111₍₌₇₎ 0010₍₌₂₎ = 272₁₆

the Final answer: 001001110010₂ = 272₁₆

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

let\'s translate to decimal like this:

0∙2¹¹+0∙2¹⁰+1∙2⁹+0∙2⁸+0∙2⁷+1∙2⁶+1∙2⁵+1∙2⁴+0∙2³+0∙2²+1∙2¹+0∙2⁰ = 0∙2048+0∙1024+1∙512+0∙256+0∙128+1∙64+1∙32+1∙16+0∙8+0∙4+1∙2+0∙1 = 0+0+512+0+0+64+32+16+0+0+2+0 = 626₁₀

got It: 001001110010₂ =626₁₀

Translate the number 626₁₀ в hexadecimal like this:

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

626	16
-624	39	16
2	-32	2
	7

the result of the conversion was:

626₁₀ = 272₁₆

the Final answer: 001001110010₂ = 272₁₆