Transfer 0011010111010111 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.

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

0011010111010111₂ = 0011 0101 1101 0111 = 0011₍₌₃₎ 0101₍₌₅₎ 1101_(=D) 0111₍₌₇₎ = 35D7₁₆

the Final answer: 0011010111010111₂ = 35D7₁₆

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

let\'s translate to decimal like this:

0∙2¹⁵+0∙2¹⁴+1∙2¹³+1∙2¹²+0∙2¹¹+1∙2¹⁰+0∙2⁹+1∙2⁸+1∙2⁷+1∙2⁶+0∙2⁵+1∙2⁴+0∙2³+1∙2²+1∙2¹+1∙2⁰ = 0∙32768+0∙16384+1∙8192+1∙4096+0∙2048+1∙1024+0∙512+1∙256+1∙128+1∙64+0∙32+1∙16+0∙8+1∙4+1∙2+1∙1 = 0+0+8192+4096+0+1024+0+256+128+64+0+16+0+4+2+1 = 13783₁₀

got It: 0011010111010111₂ =13783₁₀

Translate the number 13783₁₀ в hexadecimal like this:

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